Directional derivatives and the central limit theorem on compact general one-dimensional lattices

Dynamical Systems

2026 | journal-article

Grand-canonical thermodynamic formalism via IFS: volume, temperature, gas pressure and grand-canonical topological pressure

São Paulo Journal of Mathematical Sciences

2025 | journal-article

A Large deviations principle at zero temperature for stationary Markov equilibrium states on countable Markov shifts

arXiv

2023 | preprint

Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattices with markovian structure

Stochastics and Dynamics

2023 | journal-article

Noncommutative integration, quantum mechanics, Tannaka's theorem for compact groupoids and examples

arXiv

2023 | preprint

Existence of the zero temperature limit of equilibrium states on topologically transitive countable Markov shifts

Ergodic Theory and Dynamical Systems

2022 | journal-article

On involution kernels and large deviations principles on β-shifts

Discrete and Continuous Dynamical Systems

2022 | journal-article

Entropy, pressure, ground states and calibrated sub-actions for linear dynamics

Bulletin of the Brazilian Mathematical Society. New Series

2022 | journal-article

Invariant probabilities for discrete time Linear Dynamics via Thermodynamic Formalism

Nonlinearity

2021 | journal-article

Existence of Gibbs states and maximizing measures on a general one-dimensional lattice system with markovian structure

Qualitative Theory of Dynamical Systems

2021 | journal-article

The Ruelle operator for symmetric β-shifts

Publicacions Matemàtiques

2020 | journal-article

Gibbs States and Gibbsian Specifications on the space RN

Dynamical Systems

2019 | journal-article

Equilibrium States and Zero Temperature Limit on Topologically Transitive Countable Markov Shifts

Transactions of the American Mathematical Society

2018 | journal-article

Sobre existência de estados de equilíbrio e limite em temperatura zero para shifts de Markov topologicamente mixing

Universidade do São Paulo

2017 | dissertation-thesis

Equilibrium states and zero temperature limit for summable Markov potentials on topologically mixing shifts

Geometric methods for PDEs and dynamical systems

2015 | conference-poster

Zero temperature limits for topologically mixing Markov shifts with enumerable alphabet

Oficina de Tendências Dinâmicas 2015

2015 | conference-poster